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Planning safe robot motions in the presence of humans requires reliable forecasts of future human motion. However, simply predicting the most likely motion from prior interactions does not guarantee safety. Such forecasts fail to model the…

Artificial Intelligence · Computer Science 2023-10-23 Kushal Kedia , Prithwish Dan , Sanjiban Choudhury

Cooperation in heterogeneous groups, where individuals differ in resources, productivity, and behavioural responsiveness, underpins collective action across many social and biological systems. Introspection dynamics, in which each player…

Computer Science and Game Theory · Computer Science 2026-05-25 Harry Foster , Vincent A. Knight , Sebastian Krapohl

Since Self-Organised Criticality (SOC) was introduced in the 1987 both the nature of the self-organisation and of the criticality remains controversial. Recent observations on rain precipitation and on brain activity suggest that real…

Statistical Mechanics · Physics 2017-06-02 Lorenzo Palmieri , Henrik Jeldtoft Jensen

Empirically derived continuum models of collective behavior among large populations of dynamic agents are a subject of intense study in several fields, including biology, engineering and finance. We formulate and study a mean-field game…

Adaptation and Self-Organizing Systems · Physics 2018-06-22 Piyush Grover , Kaivalya Bakshi , Evangelos A. Theodorou

We study the long-time dynamics of a forest-fire model with deterministic tree growth and instantaneous burning of entire forests by stochastic lightning strikes. Asymptotically the system organizes into a coarsening self-similar mosaic of…

Statistical Mechanics · Physics 2009-11-07 K. E. Chan , P. L. Krapivsky , S. Redner

In the usual models of cooperative game theory, the outcome of a coalition formation process is either the grand coalition or a coalition structure that consists of disjoint coalitions. However, in many domains where coalitions are…

Computer Science and Game Theory · Computer Science 2014-01-17 Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis , Maria Polukarov , Nicholas Robert Jennings

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

In various online/offline multi-agent networked environments, it is very popular that the system can benefit from coordinating actions of two interacting agents at some cost of coordination. In this paper, we first formulate an optimization…

Systems and Control · Computer Science 2018-09-14 Hyeryung Jang , Jinwoo Shin , Yung Yi

The paper studies the problem of reaching agreement in a distributed message-passing system prone to crash failures. Crashes are generated by \constrained\ adversaries - a \wadapt\ adversary, who has to fix in advance the set of $f$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-20 Dariusz R. Kowalski , Jaroslaw Mirek

Ad-hoc networks are independent of any infrastructure. The nodes are autonomous and make their own decisions. They also have limited energy resources. Thus, a node tends to behave selfishly when it is asked to forward the packets of other…

Networking and Internet Architecture · Computer Science 2012-05-16 Mohamed-Haykel Zayani , Djamal Zeghlache

The constrained multi-agent optimization problem of distributed resource allocation is addressed using the evolutionary game theoretic framework. The issue of building temperature control is analyzed in which the controller is to devise a…

Optimization and Control · Mathematics 2019-08-15 M. Sawant , J. Moyalan , J. Koonamparampath , A. Sheikh , S. Wagh , N. Singh

We study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram

Previous research has highlighted the importance of strong heterogeneity for the successful evolution of cooperation in games governed by pairwise interactions. Here we determine to what extent this is true for games governed by group…

Physics and Society · Physics 2011-12-21 Matjaz Perc

We consider a fully decentralized multi-player stochastic multi-armed bandit setting where the players cannot communicate with each other and can observe only their own actions and rewards. The environment may appear differently to…

Machine Learning · Computer Science 2021-12-30 Akshayaa Magesh , Venugopal V. Veeravalli

Resource allocation takes place in various types of real-world complex systems such as urban traf- fic, social services institutions, economical and ecosystems. Mathematically, the dynamical process of complex resource allocation can be…

Physics and Society · Physics 2015-11-05 Ji-Qiang Zhang , Zi-Gang Huang , Zhi-Xi Wu , Riqi Su , Ying-Cheng Lai

Understanding the evolution of cooperation in multiplayer games is of vital significance for natural and social systems. An important challenge is that group interactions often leads to nonlinear synergistic effects. However, previous…

Physics and Society · Physics 2025-05-13 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Longzhao Liu , Jiaxin Hu , Zhiming Zheng , Shaoting Tang , Hongwei Zheng , Jin Dong

Fair cost allocation in community microgrids remains a significant challenge due to the complex interactions between multiple participants with varying load profiles, distributed energy resources, and storage systems. Traditional cost…

Systems and Control · Electrical Eng. & Systems 2025-02-14 K. Victor Sam Moses Babu , Pratyush Chakraborty , Mayukha Pal

Underlying relationships among multi-agent systems (MAS) in hazardous scenarios can be represented as Game-theoretic models. We measure the performance of MAS achieving tasks from the perspective of balancing success probability and system…

Multiagent Systems · Computer Science 2021-08-03 Qin Yang , Ramviyas Parasuraman

In this paper, we consider a multi-agent resilient consensus problem, where some of the nodes may behave maliciously. The approach is to equip all nodes with a scheme to detect neighboring nodes when they behave in an abnormal fashion. To…

Systems and Control · Electrical Eng. & Systems 2021-01-14 Liwei Yuan , Hideaki Ishii

The system reconfiguration task is considered for existing power distribution systems and microgrids, in the presence of renewable-based generation and load foresting errors. The system topology is obtained by solving a chance-constrained…

Optimization and Control · Mathematics 2014-05-19 Emiliano Dall'Anese , Georgios B. Giannakis